Reflections (Andy Williams album)

Reflections is a compilation album by American pop singer Andy Williams that was released in the UK on December 30, 1977, by the CBS Records division of Columbia. The subtitle on the cover reads, "A collection of 20 of my favorite songs", and a statement from Williams in the liner notes says, "Songs have a very special memories for all of us. They pinpoint moments in our time. On this album I have chosen 20 songs that do just that. I hope you like them." While there was one new song ("Sad"), the collection was otherwise a balanced mix of album cuts and chart hits from his years with Columbia Records, including the seven top 10 UK singles he'd had during this period.

On January 20, 1978, the album was awarded with Gold certification by the British Phonographic Industry for sales of 100,000 units in the UK. It entered the UK album chart the following week, on January 28, and reached number 2 over the course of 17 weeks. It was released on compact disc in 2007.

Reflections (1987 film)

Već viđeno (English: Reflections, also known as Deja Vu) is a 1987 Serbian psychological horror film directed by Goran Marković, starring Mustafa Nadarević, Anica Dobra, Milorad Mandić, Bogdan Diklić and Gordana Gadžić. The film was selected as the Yugoslav entry for the Best Foreign Language Film at the 60th Academy Awards, but was not accepted as a nominee.

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Reflections (MisterWives song)

"Reflections" is the debut single from American indie pop band MisterWives. It initially appeared on the band's debut EP of the same name and was later included on their debut studio album Our Own House. Written by lead singer Mandy Lee, the song peaked at #13 on the Billboard rock chart in 2015.

Critical reception

Garrett Kamps of Billboard praised the song and referred to it as a "heavenly mash-up of Weezer and the Bee Gees".

Live performances

MisterWives performed an acoustic version of "Reflections" on the MTV series Buzzworthy Live on March 12, 2014. The band went on to perform the song on Big Morning Buzz Live on November 4, 2014;Late Night with Seth Meyers on February 23, 2015; and Last Call with Carson Daly on March 20, 2015.

Music video

The official music video for the song was directed by Marlena Pavich.

Chart positions

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Trace (album)

Trace is the first album by Son Volt, released in 1995. The band was formed the previous year by Jay Farrar after the breakup of the influential alt-country band Uncle Tupelo. The album reached #166 on the Billboard 200 album chart and received extremely favorable reviews. According to Allmusic, "Throughout Son Volt's debut, Trace, the group reworks classic honky tonk and rock & roll, adding a desperate, determined edge to their performances. Even when they rock out, there is a palpable sense of melancholy to Farrar's voice, which lends a poignancy to the music." The album was in the top 10 of Rolling Stone's 1995 critics' list.

"Drown" was a minor college and rock radio hit. It charted at #10 on the Billboard Mainstream Rock Tracks chart and #25 on the Billboard Modern Rock Tracks chart. It remains their only single to chart on either of the charts.

Track listing

All of the songs were written by Farrar except "Mystifies Me", written by Ronnie Wood.

Trace (linguistics)

In transformational grammar, a trace is an empty (phonologically null) category that occupies a position in the syntactic structure. In some theories of syntax, traces are used in the account of constructions such as wh-movement and passive. Traces are important theoretical devices in some approaches to syntax.

Concept

A trace is usually what occupies the empty (null) position in the syntactic structure that is left behind when some element undergoes movement. For example, in a case involving wh-movement, a structure like

is transformed into

the wh-word what being moved to the front of the sentence. In theories that posit traces, the position from which the wh-word was moved (in this case, the position of the direct object of eating), is considered to be occupied by a trace. In relevant linguistic texts, the trace may be denoted by a letter t; so the second sentence above may be written:

Traces are considered primarily in Chomskyan transformational grammar and its various developments. They are distinguished from other empty syntactic categories, commonly denoted PRO and pro. More details and examples can be found in the article on empty categories.

Trace operator

In mathematics, the concept of trace operator plays an important role in studying the existence and uniqueness of solutions to boundary value problems, that is, to partial differential equations with prescribed boundary conditions. The trace operator makes it possible to extend the notion of restriction of a function to the boundary of its domain to "generalized" functions in a Sobolev space.

Informal discussion

Let be a bounded open set in the Euclidean space with C¹ boundary If is a function that is (or even just continuous) on the closure of its function restriction is well-defined and continuous on If however, is the solution to some partial differential equation, it is in general a weak solution, so it belongs to some Sobolev space. Such functions are defined only up to a set of measure zero, and since the boundary does have measure zero, any function in a Sobolev space can be completely redefined on the boundary without changing the function as an element in that space. It follows that simple function restriction cannot be used to meaningfully define what it means for a general solution to a partial differential equation to behave in a prescribed way on the boundary of